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Goodwill, Customer Relationships and Other Intangible Assets (Tables)
9 Months Ended
Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of acquisition-related intangible assets
Goodwill, customer relationships and other intangible assets consisted of the following:
September 30, 2020December 31, 2019
(Dollars in millions)
Goodwill$7,369 7,415 
Customer relationships, less accumulated amortization of $2,058 and $1,538
$6,315 6,865 
Capitalized software, less accumulated amortization of $229 and $146
409 395 
Trade names, less accumulated amortization of $76 and $57
55 74 
Total other intangible assets, net$6,779 7,334 
Schedule of goodwill
The following table shows the rollforward of goodwill from December 31, 2019 through September 30, 2020:
(Dollars in millions)
As of December 31, 2019
$7,415 
Effect of foreign currency exchange rate changes and other(46)
As of September 30, 2020$7,369 
Schedule of estimated amortization expense of finite-lived acquisition-related intangible assets
We estimate that total amortization expense for intangible assets for the years ending December 31, 2020 through 2024 will be as follows:
(Dollars in millions)
2020 (remaining three months)$211 
2021841 
2022780 
2023752 
2024740